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Write and Solve Equations Utilizing Proportional Relationships

Write and Solve Equations Utilizing Proportional Relationships


In the fascinating world of mathematics, understanding proportional relationships is integral. These relationships occur when two quantities vary in such a way that the ratio of their values is always constant. This can be represented with the equation \(y = kx\), where \(k\) is the constant of proportionality.
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Understanding Unit Rates and Rates

Understanding Unit Rates and Rates


In the world of mathematics, rates are a way of comparing different types of quantities. To be more specific, a rate describes how one quantity changes in relation to another. When we talk about unit rates, we're referring to a type of rate that describes how one quantity changes for every one unit of another.
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Use Unit Rates to Solve Word Problems

Use Unit Rates to Solve Word Problems


Understand the scenario being presented and identify what the problem is asking for. Is it asking for the total cost, total time, total distance, or some other total quantity? You need to know this to determine what you are solving for.
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Word Problems of Comparing Ratios

Word Problems of Comparing Ratios


Ratios are prevalent in our everyday life. It could be calculating the ratio of ingredients in a recipe or comparing rates of different products or services. Therefore, understanding how to solve word problems involving ratios is a valuable skill. This guide will break down the process into easy-to-follow steps.
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How to Solve Percent Equations

How to Solve Percent Equations


When working with percentages, it is common to encounter equations where you have to calculate a missing value. These are known as percent equations. In this article, we will learn step by step how to solve percent equations. Let's get started.
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Percents of Numbers and Percent Equations Word Problems

Percents of Numbers and Percent Equations Word Problems


Navigating percentages and numbers in word problems can be challenging, but once understood, it can become an interesting part of mathematics. Let's unravel the process step-by-step.
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Percent of Change Word Problems

Percent of Change Word Problems


Solving word problems that involve the percent of change can seem daunting initially. However, with a step-by-step approach, they become quite manageable. Here's how to tackle them:
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Finding Original Price from Sale Price

Finding Original Price from Sale Price


Finding the original price of a discounted item is a practical skill that can help you understand how much you're saving during a sale. Here's a step-by-step guide:
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How to Estimate the Amount of a Tip

How to Estimate the Amount of a Tip


Tipping is a common practice in many countries and industries, particularly in restaurants. Knowing how to estimate the amount of a tip can be a valuable skill. Let's go through the steps of how to do this.
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Solve Simple Interest Problems

Solve Simple Interest Problems


Interest is money paid regularly at a particular rate for borrowing money or delaying the repayment of a debt. In this article, we will explore how to calculate simple interest.
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